106367232 has 72 divisors (see below), whose sum is σ = 299781216. Its totient is φ = 33366016.

The previous prime is 106367227. The next prime is 106367281. The reversal of 106367232 is 232763601.

It is a super-2 number, since 2×106367232² = 22627976086683648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106367232.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8983 + ... + 17129.

It is an arithmetic number, because the mean of its divisors is an integer number (4163628).

Almost surely, 2^106367232 is an apocalyptic number.

106367232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106367232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149890608).

106367232 is an abundant number, since it is smaller than the sum of its proper divisors (193413984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106367232 is an equidigital number, since it uses as much as digits as its factorization.

106367232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 106367232 is about 10313.4490835995. The cubic root of 106367232 is about 473.8082508788.

The spelling of 106367232 in words is "one hundred six million, three hundred sixty-seven thousand, two hundred thirty-two".